(D) For a first-order reaction,the half-life period $(t_{1/2})$ is given by the formula: $t_{1/2} = \frac{0.693}{k}$.Here,$k$ is the rate constant.Sin

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(D) For a first-order reaction,the half-life period $(t_{1/2})$ is given by the formula: $t_{1/2} = \frac{0.693}{k}$.Here,$k$ is the rate constant.Since the expression for $t_{1/2}$ does not contain the initial concentration of the reactant $(CO)$,it implies that $t_{1/2} \propto (CO)^{0}$.Therefore,the half-life of a first-order reaction is independent of the initial concentration of the reactant.

Class 12 Chemistry Chemical Kinetics First Order reaction

Easy

Which of the following expressions is correct for a first-order reaction? $(CO)$ refers to the initial concentration of the reactant.

A
$t_{1/2} \propto CO$
B
$t_{1/2} \propto CO^{-1}$
C
$t_{1/2} \propto CO^{-2}$
D
$t_{1/2} \propto CO^{0}$

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Which of the following expressions is correct for a first-order reaction? $(CO)$ refers to the initial concentration of the reactant.

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$A$ radioactive substance decomposes such that after $100 \ min$,its concentration becomes $1/8$ of the original concentration. Calculate the rate constant $(k)$ and half-life time $(t_{1/2})$.

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